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Консультация № 202100
22.01.2022, 14:08
0.00 руб.
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1
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Определить географическую широту места наблюдения и склонение звезды по измерениям ее зенитного расстояния z или высоты h в обеих кульминациях—верхней (в) и нижней (н):
а) zв=15°06'W, zн = 68°14' N;
в) hв=+80°40' ю, zн=72°24' c;
Определить географическую широту места наблюдения и склонение звезды по измерениям ее зенитного расстояния z или высоты h в обеих кульминациях—верхней (в) и нижней (н):
а) zв=15°06'W, zн = 68°14' N;
в) hв=+80°40' ю, zн=72°24' c;
Обсуждение
28.01.2022, 14:49
общий
Адресаты:
Для местности с географической широтой [$966$] горизонтальные координаты (азимут A и зенитное расстояние z) связаны с экваториальными координатами (часовой угол t и склонение [$948$]) формулами:
В частности, в момент верхней кульминации всегда t = 0[$186$] и
откуда
если кульминация происходит над точкой юга (A[sub]B[/sub] = 0[$186$]), и
если кульминация происходит к северу от зенита (A[sub]B[/sub] = 180[$186$]). В момент нижней кульминации всегда t = 180[$186$] и A[sub]B[/sub] = 180[$186$] (она происходит к северу от зенита), поэтому
откуда
Следовательно, если верхняя кульминация происходит над точкой юга, то
а если над точкой севера, то
Для случая а) имеем z[sub]B[/sub] = 15[$186$]06'N, z[sub]H[/sub] = 68[$186$]14'N, откуда
Для случая в) имеем z[sub]B[/sub] = 90[$186$] - h[sub]B[/sub] = 9[$186$]20'ю, z[sub]H[/sub] = 72[$186$]24'с, откуда
В частности, в момент верхней кульминации всегда t = 0[$186$] и
откуда
если кульминация происходит над точкой юга (A[sub]B[/sub] = 0[$186$]), и
если кульминация происходит к северу от зенита (A[sub]B[/sub] = 180[$186$]). В момент нижней кульминации всегда t = 180[$186$] и A[sub]B[/sub] = 180[$186$] (она происходит к северу от зенита), поэтому
откуда
Следовательно, если верхняя кульминация происходит над точкой юга, то
а если над точкой севера, то
Для случая а) имеем z[sub]B[/sub] = 15[$186$]06'N, z[sub]H[/sub] = 68[$186$]14'N, откуда
Для случая в) имеем z[sub]B[/sub] = 90[$186$] - h[sub]B[/sub] = 9[$186$]20'ю, z[sub]H[/sub] = 72[$186$]24'с, откуда
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